Properties of the Number 65009

Sixty-Five Thousand Nine

Basics

Value: 65008 → 65009 → 65010

Parity: odd

Prime: No

Previous Prime: 65003

Next Prime: 65011

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 37 × 251

Divisors: 1, 7, 37, 251, 259, 1757, 9287, 65009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110111110001

Octal: 176761

Duodecimal: 31755

Hexadecimal: fdf1

Square: 4226170081

Square Root: 254.9686255208668

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1 or 3 king-move neighboring 1s. A295943

a(n) = (10n+1)*(10n+9). A1535

Number of n X 4 0..1 arrays with each 1 adjacent to 1 or 3 king-move neighboring 1's. A295939

Number of nX7 0..1 arrays with each 1 adjacent to 1 or 3 king-move neighboring 1s. A295942

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, -1), (0, 1, -1), (1, 0, 1)}. A149100

Integers for which the periodic part of the continued fraction for the square root of n begins with 6. A65009